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Book synopsis

The evolution of a physical system can often be described in terms of a semigroup of linear operators. Observations of the system may be modelled by a spectral measure. A combination of these basic objects produces a family of operator valued set functions, by which perturbations of the evolution are represented as path integrals. In this book, random processes measured by operator valued set functions - evolution processes - are systematically examined for the first time. The Feynman-Kac formula, representing perturbations of the heat semigroup in terms of integrals with respect to Wiener measure, is extended in a number of directions: to other countably additive processes, not necessarily associated with a probability measure; to unbounded processes such as those associated with Feynman integrals; and to random evolutions. §Audience: Researchers in mathematical physics, functional analysis and stochastic processes.

Book details

Book category Books in English Mathematics & science Physics

• Full title: Evolution Processes and the Feynman-Kac Formula
• Author: B. Jefferies
• Language: English
• Binding: Hardback
• Number of pages: 238
• EAN: 9780792338437
• ISBN: 079233843X
• ID: 01394963
• Publisher: Springer Netherlands
• Weight: 543 g
• Dimensions: 235 × 155 × 18 mm
• Published: 1995

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